4-by-4 matrix to represent and manipulate 3D transformations. More...

#include <Matrix4x4.h>

Inheritance diagram for spatium::geom3d::Matrix4x4:

Collaboration diagram for spatium::geom3d::Matrix4x4:

Public Member Functions
	Matrix4x4 ()
	Constructor. More...

	Matrix4x4 (const Matrix4x4 &other)
	Copy constructor. More...

	Matrix4x4 (const Matrix &other)
	Copy constructor. More...

Matrix4x4 &	operator= (const Matrix4x4 &other)=default
	Assignment operator. More...

	~Matrix4x4 ()=default
	Destructor. More...

Public Member Functions inherited from spatium::Matrix
	Matrix (size_t rows, size_t cols)
	Constructor. More...

	Matrix (std::initializer_list< std::initializer_list< double >> array)
	Constructor. More...

bool	operator== (const Matrix &other) const
	Compare operator. Is equal. More...

bool	operator!= (const Matrix &other) const
	Compare operator. Is unequal. More...

size_t	rows () const
	Get the number of rows. More...

size_t	cols () const
	Get the number of columns. More...

std::vector< double >	data () const
	Get all matrix elements. More...

void	clear ()
	Clear all matrix elements. More...

Matrix	transposed () const
	Get transposed matrix. More...

double	determinant () const
	Calculate determinant. More...

double	minor (size_t row, size_t col) const
	Calulcate minor. More...

Matrix	omit (size_t row, size_t col) const
	Omit a given row and column. More...

Matrix	inverse () const
	Calculate inverse of matrix. More...

double	operator() (size_t row, size_t col) const
	Access element by value. More...

double &	operator() (size_t row, size_t col)
	Access element by reference. More...

Matrix	operator+ (const Matrix &other) const
	Add by matrix. More...

Matrix	operator- (const Matrix &other) const
	Subtract by matrix. More...

Matrix	operator * (const Matrix &other) const
	Multiply by matrix. More...

Matrix	operator * (double scalar) const
	Multiply by scalar. More...

Matrix	operator/ (double scalar) const
	Divide by scalar. More...

void	resize (size_t rows, size_t cols)
	Resize. More...

Static Public Member Functions
static Matrix4x4	translation (double x, double y, double z)
	Construct translation matrix. More...

static Matrix4x4	scaling (double x, double y, double z)
	Construct scaling matrix. More...

static Matrix4x4	rotation (double x, double y, double z)
	Construct rotation matrix (counterclockwise). More...

static Matrix4x4	rotationX (double angle)
	Construct matrix for rotation around X axis (counterclockwise). More...

static Matrix4x4	rotationY (double angle)
	Construct matrix for rotation around Y axis (counterclockwise). More...

static Matrix4x4	rotationZ (double angle)
	Construct matrix for rotation around Z axis (counterclockwise). More...

static Matrix4x4	rotationAround (const Vector3 &axis, double angle)
	Construct matrix for rotation around axis (counterclockwise). More...

Static Public Member Functions inherited from spatium::Matrix
static Matrix	identity (size_t order)
	Construct identity matrix. More...

Additional Inherited Members
Protected Member Functions inherited from spatium::Matrix
double	determinant (const Matrix &matrix) const
	Calculate determinant. More...

Protected Attributes inherited from spatium::Matrix
size_t	m_rows

size_t	m_cols

std::vector< double >	m_data

Detailed Description

4-by-4 matrix to represent and manipulate 3D transformations.

Matrix4x4 is a class to represent and manipulate 4x4 matrices. Specifically, it is designed to work on 4x4 transformation matrices found in 3D rendering using homogeneous coordinates [x y z w].

Constructor & Destructor Documentation

◆ Matrix4x4() [1/3]

spatium::geom3d::Matrix4x4::Matrix4x4 ( )

inline

Constructor.

◆ Matrix4x4() [2/3]

spatium::geom3d::Matrix4x4::Matrix4x4 ( const Matrix4x4 & other )

inline

Copy constructor.

◆ Matrix4x4() [3/3]

spatium::geom3d::Matrix4x4::Matrix4x4 ( const Matrix & other )

inline

Copy constructor.

Parameters

[in] other Other matrix

Exceptions

std::out_of_range Matrix dimenions != 4

◆ ~Matrix4x4()

spatium::geom3d::Matrix4x4::~Matrix4x4 ( )

default

Destructor.

Member Function Documentation

◆ operator=()

Matrix4x4& spatium::geom3d::Matrix4x4::operator= ( const Matrix4x4 & other )

default

Assignment operator.

◆ rotation()

static Matrix4x4 spatium::geom3d::Matrix4x4::rotation	(	double	x,
		double	y,
		double	z
	)

inlinestatic

Construct rotation matrix (counterclockwise).

Parameters

[in]	x	Rotation on X axis
[in]	y	Rotation on Y axis
[in]	z	Rotation on Z axis

Returns: Rotation matrix

◆ rotationAround()

static Matrix4x4 spatium::geom3d::Matrix4x4::rotationAround	(	const Vector3 &	axis,
		double	angle
	)

inlinestatic

Construct matrix for rotation around axis (counterclockwise).

Parameters

[in]	axis	Axis vector
[in]	angle	Angle in radians

Returns: Rotation matrix

◆ rotationX()

static Matrix4x4 spatium::geom3d::Matrix4x4::rotationX ( double angle )

inlinestatic

Construct matrix for rotation around X axis (counterclockwise).

Parameters

[in] angle Angle in radians

Returns: Rotation matrix

◆ rotationY()

static Matrix4x4 spatium::geom3d::Matrix4x4::rotationY ( double angle )

inlinestatic

Construct matrix for rotation around Y axis (counterclockwise).

Parameters

[in] angle Angle in radians

Returns: Rotation matrix

◆ rotationZ()

static Matrix4x4 spatium::geom3d::Matrix4x4::rotationZ ( double angle )

inlinestatic

Construct matrix for rotation around Z axis (counterclockwise).

Parameters

[in] angle Angle in radians

Returns: Rotation matrix

◆ scaling()

static Matrix4x4 spatium::geom3d::Matrix4x4::scaling	(	double	x,
		double	y,
		double	z
	)

inlinestatic

Construct scaling matrix.

Parameters

[in]	x	Scaling on X axis
[in]	y	Scaling on Y axis
[in]	z	Scaling on Z axis

Returns: Scaling matrix

◆ translation()

static Matrix4x4 spatium::geom3d::Matrix4x4::translation	(	double	x,
		double	y,
		double	z
	)

inlinestatic

Construct translation matrix.

Parameters

[in]	x	Translation on X axis
[in]	y	Translation on Y axis
[in]	z	Translation on Z axis

Returns: Translation matrix

The documentation for this class was generated from the following file:

/home/martijn/Development/Projects/SpatiumLib/include/spatium/geom3d/Matrix4x4.h

Public Member Functions

Static Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Matrix4x4() [1/3]

◆ Matrix4x4() [2/3]

◆ Matrix4x4() [3/3]

◆ ~Matrix4x4()

Member Function Documentation

◆ operator=()

◆ rotation()

◆ rotationAround()

◆ rotationX()

◆ rotationY()

◆ rotationZ()

◆ scaling()

◆ translation()